1283296 has 48 divisors (see below), whose sum is σ = 3066336. Its totient is φ = 516096.

The previous prime is 1283237. The next prime is 1283297. The reversal of 1283296 is 6923821.

1283296 = 39² + 40² + ... + 157².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1283297) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3640 + ... + 3976.

It is an arithmetic number, because the mean of its divisors is an integer number (63882).

2^1283296 is an apocalyptic number.

1283296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1283296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533168).

1283296 is an abundant number, since it is smaller than the sum of its proper divisors (1783040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1283296 is a wasteful number, since it uses less digits than its factorization.

1283296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 363 counting only the distinct ones).

The product of its digits is 5184, while the sum is 31.

The square root of 1283296 is about 1132.8265533611. The cubic root of 1283296 is about 108.6698197905.

The spelling of 1283296 in words is "one million, two hundred eighty-three thousand, two hundred ninety-six".